Flow velocity out of a rectangluar nozzle

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    Flow Nozzle Velocity
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Discussion Overview

The discussion revolves around calculating the flow velocity of air exiting a rectangular nozzle connected to a hose. Participants explore the relationship between volumetric flow rate, duct flow area, and mean air velocity, considering factors such as compressibility and flow uniformity.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant presents a scenario involving a fan delivering 300 cfm of air through a 3" ID hose leading to a rectangular nozzle with dimensions 4.5" x 0.5".
  • Another participant questions how to relate volumetric flow rate with duct flow area and mean air velocity, raising the issue of whether compressibility needs to be considered.
  • A participant notes that the duct is open at the end, implying no pressure, and asks if calculations should assume the duct size is that of the nozzle, disregarding length and loss.
  • One participant suggests that if the 300 cfm measurement is accurate, one could calculate the flow velocity by taking the cross-sectional area of the nozzle and assuming uniform flow, while noting that the actual flow may be slightly faster due to variations in velocity across the nozzle.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best approach to calculate flow velocity, with multiple viewpoints on the assumptions and factors to consider in the calculations.

Contextual Notes

Participants express uncertainty regarding the impact of compressibility and the relevance of duct length in the calculations, indicating that these factors may affect the accuracy of the flow velocity estimation.

Seth_eplmf
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Hello, I'm having a hard time coming up with a flow velocity out of a nozzle.

I have a fan that is putting 300 cfm of air through a 3" ID hose. The 3" hose is 45in long, and ends with a rectangular nozzle that has an opening 4.5" x 0.5".

Any help would be greatly appreciated.
 
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How would one relate volumetric flow rate with duct flow area and mean air velocity?

Does one have to account for compressibility?
 
The duct is open at the end, so there is not pressure.

Let me ask this: If you have the nozzle at the end of a hose, would you do the calculation assuming the duct is the size of said nozzle and length doesn't matter (not worried about loss)?
 
How accurate do you need your answer to be? If you know the 300CFM is accurate, you could simply take the cross sectional area of the nozzle and assume uniform flow across the nozzle and get a rough answer that way. The real answer will be a bit faster, since the flow at the walls will be slower (so the central flow needs to be faster to maintain the volumetric flow rate), but I wouldn't bother with that unless you need a very precise answer for some reason.
 

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